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Finding the Fourth Proportional to 338.14, 506.90 and 132.84

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Solution

The fourth proportional to 338.14, 506.90 and 132.84 is: 199.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.14 : 506.90 = 132.84 : x
  2. Step 2: Convert to fraction form
    338.14/506.90 = 132.84/x
  3. Step 3: Cross multiply
    338.14x = 506.90 × 132.84
  4. Step 4: Simplify right side
    338.14x = 67,336.60
  5. Step 5: Solve for x
    x = 67,336.60/338.14
  6. Step 6: Final answer
    x = 199.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.